an air conditioning system can circulate 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pitagora theorem is  14^2=9^2+x^2

                                     -9^2    -9^2

so the equation is

x^2=14^2-9^2

Answer:

10.7 units

Step-by-step explanation:

Well this is actually pretty simple.

You have to use the Pythagorean Theorum formula which is [tex]a^2+b^2=c^2[/tex] and in this case we have a and c.

So c is 14 and a is 9 so we can plug those numbers in.

[tex](9)^2+b^2=(14)^2[/tex].

So 9 squared is 81 and 14 squared is 196.

So to get b by itself we have to subtract 81 by 196 which is 115.

Now we have to find the square root of 115 and b which is b and about 10.7 units.

So The length of the remaining side is 10.7 units.

Answer: 56.54866776... rounded to the nearest tenth

56.55

Step-by-step explanation:

The formula for circumference is [tex]C = \pi d[/tex] or [tex]C = 2 \pi r[/tex]

Answer:

56.52

Step-by-step explanation:

Circumference is [tex]C=2\pi r[/tex]

We are given the radius of 9 in.

Using 3.14 for pi:

[tex]C=2 * 3.14 *9\\\\C=6.28*9\\\\\boxed{C=56.52}[/tex]

The circumference of the circle should be 56.52 inches, your answer should be correct.

Please see the attached picture for full solution..

Hope it helps...

Good luck on your assignment...

Answer:

Question 1: 7

Question 2: I couldn't figure it out :(

Question 3: 35 I think

Step-by-step explanation:

Question 1

A set of five positive integers: a+b+c+d+e

Whose mean is 5: [tex]\frac{a+b+c+d+e}{5}=5[/tex]

Whose median is 5: [tex]\frac{a+b+5+d+e}{5}=5[/tex]

Whose only mode is 8: [tex]\frac{a+b+5+8+8}{5}=5[/tex]

The reason the last two digits are 8 is because the only mode is 8, and there are only two digits greater than 5, and 8 > 5.

Let's multiply both sides of the equation by 5: a+b+5+8+8=25

Simplify: a+b+21=25

Simplify further: a+b=4

Only possible values are a=1, and b=3.

Now, go back to the original expression, but substitute in a and b

1+3+5+8+8

8-1=7

Question 2

I'm really sorry, but I had some trouble on this one

Question 3

A set of five different positive integers: a+b+c+d+e

Whose mean is 15: [tex]\frac{a+b+c+d+e}{5}=15[/tex]

Whose median is 18: [tex]\frac{a+b+18+d+e}{5}=15[/tex]

Simplify: a+b+18+d+e=75

Simplify further: a+b+d+e=57

We know that a<b<18<d<e.

We want the maximum possible value for e.

set all other digits as low as possible (remember they are integers, so no fractions or decimals)

1+2+19= 22, 57-22=35

*I am not 100% sure if this last one is correct because it is not on my RSM homework so I can not check.

Answer:

7

Step-by-step explanation:

Question 1

A set of five positive integers: a+b+c+d+e

Whose mean is 5

Whose median is 5

Whose only mode is 8

Start by multiplying both sides of the equation by 5: a+b+5+8+8=25

Simplify by adding: a+b+21=25

Simplify by inverse operation: a+b=4

Now the only possible values are a=1, and b=3.

The original expression, with a and b substituted

1+3+5+8+8

8-1=7

Answer: 16 ft

Step-by-step explanation:

Answer:

1/6 <x

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x+16x +8 < 2x+16x+5

8 < 18x +5

Subtract 5 from each side

8-5 <18x

3 <18x

Divide by 18

3/18 <x

1/6 <x

-2(8x - 4) < 2x + 5

Expand the brackets.

-16x +8 < 2x + 5

Add -2x and -8 on both sides.

-16x -2x<5-8

-18x<-3

Multiply both sides with -1 (reverse the inequalty).

18x>3

Divide 18 into both sides.

18x/18>3/18

Answer:

$ 46 and it's not enough

Step-by-step explanation:

6 + 5x

x = weeks

so after 8 weeks, his money should be

6 + 5(8) = 6 + 40 = $ 46

Not enough for buying RC model airplane

The money for Louis have after 8 week will be $46.

And, It is not enough.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week.

And, He would have 6+5x dollars after x weeks.

Now,

The money after 8 week = 6 + 5 × 8

                                      = 6 + 40

                                      = $46

Thus, The money for Louis have after 8 week will be $46.

Since, The plane cost $48.

Hence, It is not enough.

Therefore, The money for Louis have after 8 week will be $46.

And, It is not enough.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

The answer is A. Use the distance formula to find the length of each side, and then add the lengths.

Step-by-step explanation:

I took the quiz and got it right!!

Hope this helped!!

To find the perimeter of this quadrilateral with known vertices: Use the distance formula to find the length of each side, and then add the lengths.

Mathematically, the distance between points on a coordinate plane is given by this formula:

[tex]Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Where:

Therefore, when the distance formula has been used to determine the length of of each side of the quadrilateral. You should then add the lengths of each side together.

Read more on distance formula here: https://brainly.com/question/1418394

Answer:

0.14 is the lowest answer you can get

Step-by-step explanation:

try putting in:

4.12 - 3.98

5.12 - 4.98

5.98 - 6.12

there's no way to get any lower

Answer:

Step-by-step explanation: 0.2 seconds

Answer:

- 3

Step-by-step explanation:

       _ -2x²_+ 3x__-2_____________

x - 6 |   -2x³ + 15x² – 20x + 9

       | - (-2x³ +12x²)

       |                3x² - 20x

       |              - (3x² - 18x)

       |                        - 2x  + 9

       |                       -( - 2x +12)  

       |                                   - 3

Answer:

Answer is given below with explanations.

Step-by-step explanation:

[tex]1)volume \: of \: cylinder = \pi \: {r}^{2} h \\ here \: radius \: (r) = 3 \: m \\ and \: height \: (h) = 8 \: m \: \\ volume \: of \: cylinder = \pi \: \times {3}^{2} \times 8 \\ \: \: = \pi \ \times 9 \times 8 \\ \: \: = 72\pi \\ \: \: = 226.195 \: {m}^{3} \\ 2)volume \: of \: pyramid \: = \frac{1}{3} \times base \: area \times height \\ base\: area = 25 \times 16 \\ \: \: = 400 \: {ft}^{2} \\ volume \: of \: pyramid \: = \frac{1}{3} \times400 \times 45 \\ \: \: = 6000 \: cubic \: feet \\ 5) \: volume \: of \: cone = \frac{1}{3 \: } \pi \: {r}^{2} h \\ here \: radius \: (r) = 6.2 \: m \: \\ height \: (h) = 6.8 \: m \\ volume \: of \: cone = \frac{1}{3 \: } \pi \: \times {6.2}^{2} \times 6.8 \\ \: \: = 273.73 \\ 6) \: volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {r}^{3} \\ here \: radius \:( r) = 6 \: in \\ volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {6}^{3} \\ \: \: = 452.39 \: cubic \: inches[/tex]

Questions are not clearly visible for me.

So forgive me.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

Please see attached image

Step-by-step explanation:

We start by finding the actual algebraic expression for g(x):

g(x) = f(x+1) = 4(x+1) - 2 = 4 x + 4 - 2 = 4 x + 2

Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:

for  x = 0  g(x) = 2

for x = 1   g(x) = 6

for x = -1  g(x) = -2

and joining them with a line.

Answer:

553% is equal to 5.53

Step-by-step explanation:

To change a percent to a decimal, divide it by 100, because percent means, per one hundred.

Answer:

Slope = 32+5/-21+55

= 37 / 34

Hope this helps

Answer:

D

Step-by-step explanation:

The figure A will be translated 6 units to the left to make it on figure B

Answer:

foot = 5 ft

luff = 20 ft

Step-by-step explanation:

In the picture attached, the diagram of the sail is shown. A right triangle is formed, where 50 ft² is its area, which can be computed as follows:

foot*luff*1/2 = 50

We also know that luff = 4*foot. Replacing into the previous equation:

foot*(foot*4)*1/2 = 50

foot²*2 = 50

foot² = 50/2

foot = √25

foot = 5 ft

luff = 4*5 = 20 ft

Answer:

180 centimeters cubed.

Step-by-step explanation:

The volume of a cuboid is lwh.

Length × Width × Height

(9)×(5)×(4)

(45)×(4)

=180

Answer:

Solution,

[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Question:

In which triangle is the measure of the unknown angle, x, equal to the value of [tex]sin^{-1}(\frac{5}{8.3})?[/tex]

- A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is between those sides.

- A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is opposite to side with length 5.

- A right triangle is shown. The length of the hypotenuse is 5 and the length of another side is 8.3. The angle opposite to side with length 8.3 is x.

- A right triangle is shown. The length of 2 sides are 8.3 and 5. The angle opposite to side with length 5 is x.

Answer:

The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is opposite to side with length 5.

Step-by-step explanation:

Given

[tex]x = sin^{-1}(\frac{5}{8.3})[/tex]

Required

Determine the triangle that illustrates the given parameters

From the list of given options, we understand the the triangle is a right angled triangle.

Provided that

[tex]x = sin^{-1}(\frac{5}{8.3})[/tex]

Take sin of both sides

[tex]sin\ x = sin(sin^{-1}(\frac{5}{8.3}))[/tex]

[tex]sin\ x = \frac{5}{8.3}[/tex]

From trigonometry; we understand that

[tex]sin\ x = \frac{Opp}{Hyp}[/tex]

Where Opp is the Opposite and Hyp is the Hypotenuse of the triangle

By comparison, this means that

[tex]Opp = 5\\Hyp = 8.3[/tex]

From the list of given options;

The option that best fit the illustration above is option B;

Because of the following;

1. The length of the hypotenuse is 8.3

2. The length of another side is 5.

3. Angle x is opposite to side with length 5.

See attachment for the actual triangle;

Answer:

I got triangle B correct on edge assignment

Step-by-step explanation:

Answer:

The first graph is the solution to:

x = y - 2  (blue line)

y-8 = -1/2x (red line)

where the solution is (4,6)

The second graph is the solution to:

x = y - 2  (blue line)

y-8 = -2x (red line)

where the solution is (2,4)

Step-by-step explanation:

The second equation is not clear. From the figures, the possible functions are: y-8 = -1/2x and y-8 = -2x.

To graphically solve a system you have to draw each line on the plane and look at the intersection point.

Answer:

Its the first graph you can graph it on desmos if you need :)

Step-by-step explanation:

Answer: B $2.22

Step-by-step explanation:

2 controllers cost

= 2 x 18.50 = 37

Sales tax at 6%

37 x 0.06 = 2.22

Answer:

the guy above is right

Step-by-step explanation:

For the line y = x-4 the two pints would be (0,-4) and (4,0)

When x = 1 y would be 1-4 = -3

The answers would be y = -3

To x = 4, y = 0

Answer:

X = 1, Y = -3

X = 4, Y = 0

Step-by-step explanation:

Using substitution method:

[tex]y=x^{2} -4x\\y= x-4[/tex]

substitute in for y

[tex]x^{2} -4x = x-4 \\x=4\\x=1[/tex]

Plug these in for [tex]y= x-4[/tex]

[tex]y=4-4\\y=1-4[/tex]

[tex]y = 0\\y= -3[/tex]

Answer:

x = 9.7

Step-by-step explanation:

The area of a triangle is A = b * h / 2 where A, b, and h are the area, base and height respectively. We know that A, b, and h equal 47, x, and x respectively so we can write:

47 = x * x / 2

47 = x² / 2

94 = x²

x = ±√94

In context, x can't be negative so the answer is x = √94 = 9.7.

Answer:

9.70 inches

Step-by-step explanation:

Area of a triangle is equal to base times height divided by 2.

[tex]bh/2[/tex]

Base and height is x.

[tex]xx/2=47[/tex]

Solve for x.

[tex]x^2=47 \times 2[/tex]

[tex]x^2=94[/tex]

[tex]x=\sqrt{94}[/tex]

[tex]x=9.69536[/tex]

Answer:

The vertical scale (Answer choice: C)

Step-by-step explanation:

Just got the answer correct

Answer:

11x+2y+21 x = 15

2x+3y+6z = -29

13x+9x+2x =22

Step-by-step explanation:

This is an augmented matrix

It is the coefficients of the variables and the last number is the constant

11x+2y+21 x = 15

2x+3y+6z = -29

13x+9x+2x =22

Answer:

y cannot be -9

Step-by-step explanation:

The other word is discontinuity

It is what y cannot be

The denominator cannot be zero so

y+9 cannot be zero

y cannot be -9